单纯形上Meyer Konig and Zeller算子的二阶矩量
[DM)]

数学物理学报 ›› 2005, Vol. 25 ›› Issue (2): 256-263.

单纯形上Meyer Konig and Zeller算子的二阶矩量
[DM)]

张春苟

首都师范大学数学系

出版日期:2005-04-25 发布日期:2005-04-25
基金资助:
北京市教委资助项目和国家自然科学基金(10371080)资助

The Second Moments for Meyer Konig and Zeller Operators on a Simplex

ZHANG Chun-Gou

Online:2005-04-25 Published:2005-04-25
Supported by:
北京市教委资助项目和国家自然科学基金(10371080)资助

摘要/Abstract

摘要：

该文讨论了单纯形上Meyer Konig and Zeller算子的矩量问题. 首先得到了二阶矩量在广义积分下的显式表示，并由此导出了二阶矩量的二元Appell超几何函数表示，超几何级数表示和完全渐近公式. 

关键词: 单纯形,Meyer Konig and Zeller算子,Appell超几何函数,超几何级数,完全渐近公式

Abstract:

In this paper, the explicit expressions of the second moments for the Meyer Konig and Zeller operators on a simplex are disc ussed and derived in terms of the generalized integration, Appell hypergeometri c functions in two variables and hypergeometric series. With that, the complete asymptotic formulae of the second moments are obtained. 

Key words: Meyer Konig and Zeller operators,Simplex, Moment, Appell hypergeometric functions, Hypergeometric series

张春苟. 单纯形上Meyer Konig and Zeller算子的二阶矩量
[DM)][J]. 数学物理学报, 2005, 25(2): 256-263.

ZHANG Chun-Gou. The Second Moments for Meyer Konig and Zeller Operators on a Simplex[J]. Acta mathematica scientia,Series A, 2005, 25(2): 256-263.